The first question uses one of the two important limits and comes out at once (as shown in the upper left corner). Or replace it with an equivalent infinitesimal, or it can be very simple (such as the lower left corner). If you have to use L'H?pital ... you will be forced to give up points ... L'H?pital will still provide points (as shown in the lower right corner).
The second question is 0-0, so you can L'H?pital it (as shown in the upper right corner).
See the figure for details.